I am a PhD in Mathematics at UFRJ (Universidade Federal do Rio de Janeiro) currently working at traffic control as an applied mathematician. You can see my webpage on IM-UFRJ . My area of study in my DSc and MSc was Geometry and Topology. Specifically, I studied the free loop space of globally symmetric spaces and its homology in the specific case of CROSS`s (Compact Rank One Symmetric Spaces) in my MSc. In my DSc, I studied the symmetric Hofer-Zehnder capacity (defined in symmetric symplectic manifolds, which are essentially symplectic manifolds equiped with an anti-symplectic involution with non empty fixed-point set) and arrived at results related to its finiteness under specific conditions. My main mathematical interests reside in the following areas: Topology Geometry Analysis Set Theory Foundations of Mathematics Algebra Functional Analysis Measure Theory I also like music, and I`m a huge fan of guitarist John Frusciante. I have a blog, on which I post something every once in a millennium: I have a Real Analysis book in development (mostly done), which you can see (I`ve been adding some things, so the last sections are still incomplete). You can contact me at aloiziomacedo AT gmail DOT com.
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